Title: Newton-Okounkov bodies and Toric degenerations of Bott-Samelson varieties

 

Speaker: Dr. Jihyeon Yang (McMaster University)

 

Abstract:

In the first talk, we will study the introduction of Newton-Okounkov body theory, which is about assigning a convex body to an algebraic object (for example, a semigroup of integral points, an algebraic variety with a linear system, etc). The construction was motivated by the study of representations of reductive algebraic groups and it has been actively developed recently and has many different perspectives.

In the second talk, we focus on the study of Bott-Samelson varieties. In a certain case (original construction) they are desingularizations of Schubert varieties. Based on Grossberg-Karshon's work, Pasquier constructed toric degenerations of Bott-Samelson varieties. We will study how these toric degenerations provide the explicit descriptions of Newton-Okounkov bodies of Bott-Samelson varieties.

 

Place: Room 404, Math Science bldg.

Date: 16:00-17:30 June 24, 2014

         10:30-12:00 June 25, 2014

    Contact: Prof. Donghoon Hyeon ( dhyeon@postech.ac.kr)

Hyemin Shin ( hyemin@postech.ac.kr, Tel. 279-8021)